-1x2 +3x +10 = 0
ax2 bx c = 0
a = -1
b = 3
c = 10
Δ = b2-4ac
Δ = 3² - (4 * -1 * 10)
Δ = 9 - (4*-10)
Δ = 9 - (-40)
Δ = 49 Δ > 0
-x2+3x+10=0
x = -b ∓ √Δ 2a
x' = -3 - √49 2*-1 = -3 - 7.0 -2 = -10.0 -2 = 5.0
x" = -3 + √49 2*-1 = -3 + 7.0 -2 = 4.0 -2 = -2.0
x' = 5.0
x" = -2.0
S = {x ∈ R / x' = 5.0, x" = -2.0 }